Maths (P.5)

2007-01-16 4:17 am
A trapezium with an area of 66㎡ has a height of 6 m. The upper side is 6 m less than the lower side. How long is the lower side?

我要式。謝謝!!

回答 (3)

2007-01-16 4:23 am
✔ 最佳答案
let the lower side be xm long.

area of trapezium = (upper side + lower side) x height / 2
66 = [(x-6) + x] x 6/2
66 = (2x-6) x 3
22 = 2x -6
28 = 2x
x = 14

the lower side is 14m long

(唔好淨係抄呀!!! 真係明至好呀!!!)
2007-01-16 4:43 am
Let Xm be the lower side,then (X-6)m be the upper side
(X+X-6)×6÷2=66
(2X-6)×6÷2=66
(12X-36)÷2=66
12X-36=132
12X=96
X=8
X is the lower side of the trapezium,so the length of it is 8m.
2007-01-16 4:23 am
Let x m be the lower side
6 [x+(x-6)] / 2 = 66
6 (x+x-6) / 2 = 66
6 (2x-6) / 2 = 66
(12x -36) /2 = 66
12x -36 = 132
12x = 168
x = 14

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參考: ME


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